Finding the Fourth Proportional to 6,826.47, 9,420.50 and 3,842.30

Step by Step Solution

1. Step 1: Write the proportion equation
   6,826.47 : 9,420.50 = 3,842.30 : x
2. Step 2: Convert to fraction form
   6,826.47/9,420.50 = 3,842.30/x
3. Step 3: Cross multiply
   6,826.47x = 9,420.50 × 3,842.30
4. Step 4: Simplify right side
   6,826.47x = 36,196,320.84
5. Step 5: Solve for x
   x = 36,196,320.84/6,826.47
6. Step 6: Final answer
   x = 5,302.35